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Finding the Fourth Proportional to 10,449.53, 15,679.40 and 5,185.04

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Solution

The fourth proportional to 10,449.53, 15,679.40 and 5,185.04 is: 7,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.53 : 15,679.40 = 5,185.04 : x
  2. Step 2: Convert to fraction form
    10,449.53/15,679.40 = 5,185.04/x
  3. Step 3: Cross multiply
    10,449.53x = 15,679.40 × 5,185.04
  4. Step 4: Simplify right side
    10,449.53x = 81,298,211.85
  5. Step 5: Solve for x
    x = 81,298,211.85/10,449.53
  6. Step 6: Final answer
    x = 7,780.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.